Jeudi 12 mai 2022
Kai Zeng (Université de Franche-Comté)
Given a quantum tori , we can define the Riesz transforms
on the quantum tori and the commutator
, where
is the operator on
of pointwise multiplication by
. In this talk, we will characterize the Schatten properties of the commutator
by showing that
, where
is the Besov space on quantum tori. Futhermore, we will extend this characterisation to the more general case where
replaced by an arbitrary Calderon-Zygmund operator. To date, these new results treat the quantum differentiability in the strictly noncommutative setting